Explain how to simplify this expression: 4a + 19 - 3a - 7

Answer:

23/133

Step-by-step explanation:

If your total is 133, that would become your denominator, your numerator is how many students of those are freshman in which this case is 23.

The total number of freshmen in the school is 23/133

The number of students in the small school is 133

23 out of the 133 students are freshmen

Therefore the fraction of freshmen in the school can be calculated by dividing 23 by 133

Fraction of freshmen is 23/133

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Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2

The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

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Answer:

It goes in one direction and indefinitely.

It consist one endpoint.

Step-by-step explanation:

A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.

a) The total time taken in hours is 0.75 hours

b) The amount of all-purpose flour needed is not given in the question.

c) The thickness of the dough in centimetres is not given.

d) The amount of salt needed per scone is not given.

e) The amount of butter needed per scone is not given.

f) It will be ready for consumption by 15:30

g) 356°F in °C can be calculated using the formula:

°C = (356°F - 32°) / 1.8 = 180°C.

a) Total preparation and cooking time = 30 minutes + 15 minutes = 45 minutes = 0.75 hours

b) To bake 36 scones, we need:

36 scones * all-purpose flour needed to bake 1 scone = all-purpose flour needed to bake 36 scones

The amount of all-purpose flour needed is not given.

c) The thickness of the dough in centimetres is not given.

d) Mrs. Msimango baked 48 scones, so the number of teaspoons of salt required would be:

48 scones * teaspoons of salt needed per scone = teaspoons of salt needed for 48 scones

The amount of salt needed per scone is not given.

e) Mrs. Msimango baked 48 scones, so the number of millilitres of butter required would be:

48 scones * ml of butter needed per scone = ml of butter needed for 48 scones

The amount of butter needed per scone is not given.

f) If Mrs. Msimango started making the scones at 14:55, they would be ready to eat at 14:55 + 0.75 hours = 15:30.

g) 356°F in °C can be calculated using the formula:

°C = (356°F - 32°) / 1.8 = 180°C

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Answer:   Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.

Step-by-step explanation:

If you are asking what they equal up too, your answer is 16

If this isn't, please correct me and I will give you a better answer

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

In the figure, applying  perpendicular bisector theorem for chords in a circle, the value of JN = 9 1/2

The perpendicular bisector theorem for chords in a circle states that if a radius of a circle is perpendicular to a chord, then it bisects the chord.

In other words, the radius divides the chord into two equal segments.

This theorem is a direct consequence of the properties of perpendicular lines and congruent triangles.

applying this to the figure

JN = JK/2

JN = 19/2

JN = 9 1/2

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The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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Given:

Consider the line y=x+3.

Required:

We want to Find the equation of the line that is parallel to this line and passes through the point (-6, -3).

Find the equation of the line that is perpendicular to this line and passes through the point (-6, -3)

Explanation:

To find parallel to this line and passes through the point (-6, -3)

The slope is same for parallel line is 1

Which is same so there is no parallel line of given line which is passes through point (-6, -3)

Now to find the perpendicular to the given line

for this the slope of this line is -1

Final answer:

y=x+3

y=-x-9

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

x = 0

Step-by-step explanation:

-7(5-3x)=-35

Divide by -7

-7/-7(5-3x)=-35/-7

5 -3x = 5

Subtract 5 from each side

5-3x-5 = 5-5

-3x=0

Divide by -3

x=0

Answer: x = 0

Step-by-step explanation: Start by distributing the -7 through the parenthses on the left side of the equation.

-7(5) is -35 and -7(-3x) is 21x.

So we have -35 + 21x = -35.

Next, isolate the x term by adding 35 to both sides.

When we do this, we get 21x = 0.

Now divide both sides by 21 and x = 0.

Answer:

fifteen thousand three hundred twenty-one

Explanation:

15,321 can be written as:

fifteen thousand three hundred twenty-one

Because thousand refers to units of 1,000 and hundred refers to units of 100.

Using the inequality rule we know that 11 is greater than -11, (11 > -11).

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality.

Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.

So, let's say the inequality equation looks like this: A

Right now, A is valued at

Let p be used to representing the initial number.

P equals 11, so

Let q be used to representing the second number.

Q has a value of -11.

-11 and 11 are both numbers that are greater than zero.

Then, 11 > -11 ... (1)

A has a value of 11 > -11.

Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).

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Correct question:
Is 11 greater than, equal to, or less than -11?

Answer:

Step-by-step explanation:

TRUE

All isosceles triangles have at least 2 acute angles due to 2 sides are equal.

The exterior angle of an equilateral triangle is obtuse.

If the perimeter of an equilateral triangle is P, then the length of each of the sides is P/3.

FALSE

All isosceles triangles are equilateral triangles.

If you know the length of one of the legs of an isosceles triangle, you can determine it’s the perimeter

The true and false statements need to be identified.

1. true

2. true

3. false

4. false

5. true

In an isosceles triangle two angles are equal.

Let the equal angle be \(x\) and the other angle be \(y\)

The sum of angles is \(180^{\circ}\)

\(x+x+y=180\\\Rightarrow y=180-2x\)

Now the value of \(x\) cannot be \(90^{\circ}\) or greater because

\(y=180-2\times 90=0\)

\(x\) has to be less than \(90^{\circ}\).

The two equal angles must always be acute.

So, the statement is true.

If the side of an equilateral triangle is \(\dfrac{P}{3}\)

Perimeter will be

\(\dfrac{P}{3}+\dfrac{P}{3}+\dfrac{P}{3}=P\)

The statement is true.

An isosceles triangle that has the legs equal and also the base equal is called an equilateral triangle.

In an isosceles triangle the base may not be equal to the other two sides.

The statement is false.

Let \(x=1\ \text{unit}\) be the length of the equal sides and \(y\) the length of the other side

Permiter is

\(P=x+x+y\\\Rightarrow P=2x+y\\\Rightarrow P=2\times 1+y=2+y\)

Since, the other side is not know the perimeter cannot be found.

The statement is false.

In an equilateral triangle all angles are \(60^{\circ}\)

Exterior angle is found by subtracting the interior angle from \(180^{\circ}\)

So, for an equilateral triangle the exterior angles will always be \(180-60=120^{\circ}\)

The angles is greater than \(90^{\circ}\) always.

The statement is true.

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Answer:

its 15

Step-by-step explanation:

Answer: 17 and 1/2 miles

Step-by-step explanation: They are 15 miles away from eachother which means halfway between the two is 7 and 1/2. 10 plus 7 and 1/2 is 17 and 1/2 and 25 minus 7 and 1/2 is 17 and 1/2.

The graph A is the one that accurately represents the side length of the bigger frame S(x).

Modeling the function S(x) by

S(x) has experienced the following changes:

a 1 shift to the right, as shown by the square root's value of -1;

S(x) travels to the right by 1 = 0 + 1 = 1 whereas f(x) stays at 0.

The graph is stretched by a factor of 3 (a number that multiplied the square root).

Consequently, the graph A shows the two changes on S. (x). As a result, it is the best choice.

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The answer is on the pic

Step-by-step explanation:

Btw brainliest me plss

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

Answer:

The probability that a sample mean is less than 14.99mm=0.066808

Step-by-step explanation:

We are given that

Mean,\(\mu=15 mm\)

Standard deviation,\(\sigma=0.04 mm\)

n=36

We have to find the probability that a sample mean is less than 14.99mm.

We know that

\(P(\bar{x}<a)=P(Z<\frac{\bar{x}-a}{\frac{\sigma}{\sqrt{n}}})\)

Using the formula

\(P(\bar{x}<14.99)=P(Z<\frac{14.99-15}{\frac{0.04}{\sqrt{36}}})\)

\(P(\bar{x}<14.99)=P(Z<-1.5)\)

=\(1-P(Z\geq -1.5)\)

\(=1-0.93319\)

=0.066808

Hence,  the probability that a sample mean is less than 14.99mm=0.066808

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

The remaining length of the road to be constructed is 4 km 3172 m 8 cm.

To find the remaining length of the road to be constructed, we need to subtract the length completed by the local people from the total length of the road.

Let's convert both lengths to a consistent unit before performing the subtraction.

Given:

Length completed by local people = 4562 ft 5 in

First, we convert the length completed by the local people to centimeters (cm) since the given total length is in km-m-cm:

\(4562 ft 5 in = (4562 \times 30.48) cm + (5 \times 2.54) cm\)

= 13908.96 cm + 12.7 cm

= 13921.66 cm

Now, we convert the total length of the road to centimeters (cm):

\(4 km 456 m 50 cm = (4 \times 100000) cm + (456 \times 100) cm + 50 cm\)

= 400000 cm + 45600 cm + 50 cm

= 445650 cm

Finally, we subtract the length completed by the local people from the total length to find the remaining length:

Remaining length = Total length - Length completed

= 445650 cm - 13921.66 cm

= 431728.34 cm

Now, we convert the remaining length back to km-m-cm:

431728.34 cm = 4 km 3172 m 8 cm

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Using the law of total expectation, the expected circumference of the rectangle is 3/2, and the expected area of the rectangle is 1/6.

Let C and A denote the circumference and area of the rectangle, respectively. Then we have:

E[C] = E[C|X] * P(X) + E[C|X'] * P(X')

where X' is the complement of X, and P(X) and P(X') are the probabilities of X and X' respectively. Since X is a uniform [0, 1] random variable, we have P(X) = 1 and P(X') = 0.

Therefore, we can simplify the above expression to:

E[C] = E[C|X]

To find E[C|X], we can use the formula for the circumference of a rectangle:

C = 2 * (base + height)

Substituting in the values for the base and height of the rectangle, we get:

C = 2 * (X + U[0, X])

where U[0, X] denotes a uniform random variable on [0, X].

Then, we can find the expected value of C given X as follows:

E[C|X] = E[2*(X+U[0,X])|X]

= 2*(X+E[U[0,X]|X])

where we have used the linearity of expectation. Note that E[U[0,X]|X] is simply the expected value of a uniform random variable on [0, X], which is X/2.

Therefore, we have:

E[C|X] = 2*(X+X/2) = 3X

Substituting this back into the expression for E[C], we get:

E[C] = E[3X] = 3E[X]

Since X is a uniform [0, 1] random variable, we have E[X] = 1/2. Therefore, the expected circumference of the rectangle is:

E[C] = 3E[X] = 3/2

Similarly, we can use the Law of Total Expectation to find the expected area of the rectangle by conditioning on X:

E[A] = E[A|X] * P(X) + E[A|X'] * P(X')

where, again, we have P(X) = 1 and P(X') = 0. Therefore, we can simplify the expression to:

E[A] = E[A|X]

To find E[A|X], we can use the formula for the area of a rectangle:

A = base * height

Substituting in the values for the base and height of the rectangle, we get:

A = X * U[0, X]

where U[0, X] denotes a uniform random variable on [0, X].

Then, we can find the expected value of A given X as follows:

E[A|X] = E[XU[0,X]|X]

= XE[U[0,X]|X]

where we have again used the linearity of expectation. Note that E[U[0,X]|X] is X/2, as before.

Therefore, we have:

E[A|X] = X * (X/2) = X^2/2

Substituting this back into the expression for E[A], we get,

E[A] = E[X^2/2] = 1/2 * E[X^2]

To find E[X^2], we can use the formula for the variance of a uniform [0, 1] random variable:

Var(X) = E[X^2] - (E[X])^2 = 1/12

Solving for E[X^2], we get:

E[X^2] = Var(X) + (E[X])^2 = 1/12 + (1/2)^2 = 1/3

Substituting this back into the expression for E[A], we get:

E[A] = 1/2 * E[X^2] = 1/6

Therefore, the expected area of the rectangle is:

E[A] = 1/6

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